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Finding the Fourth Proportional to 134,591.16, 185,724.78 and 78,006.84

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Solution

The fourth proportional to 134,591.16, 185,724.78 and 78,006.84 is: 107,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,591.16 : 185,724.78 = 78,006.84 : x
  2. Step 2: Convert to fraction form
    134,591.16/185,724.78 = 78,006.84/x
  3. Step 3: Cross multiply
    134,591.16x = 185,724.78 × 78,006.84
  4. Step 4: Simplify right side
    134,591.16x = 14,487,803,197.50
  5. Step 5: Solve for x
    x = 14,487,803,197.50/134,591.16
  6. Step 6: Final answer
    x = 107,643.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.